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61376262012 = 22321332926759
BaseRepresentation
bin111001001010010011…
…110110111101111100
312212102102021011022100
4321022103312331330
52001144310341022
644110150145100
74301650422252
oct711223667574
9185372234270
1061376262012
112403633308a
12ba8a952190
135a31917000
142d835865d2
1518e34a91ac
hexe4a4f6f7c

61376262012 has 144 divisors (see below), whose sum is σ = 173870424000. Its totient is φ = 18233115264.

The previous prime is 61376262007. The next prime is 61376262029. The reversal of 61376262012 is 21026267316.

61376262012 is a `hidden beast` number, since 6 + 1 + 3 + 7 + 626 + 20 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2280289 + ... + 2307047.

It is an arithmetic number, because the mean of its divisors is an integer number (1207433500).

Almost surely, 261376262012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61376262012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86935212000).

61376262012 is an abundant number, since it is smaller than the sum of its proper divisors (112494161988).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

61376262012 is a wasteful number, since it uses less digits than its factorization.

61376262012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26837 (or 26806 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 61376262012 in words is "sixty-one billion, three hundred seventy-six million, two hundred sixty-two thousand, twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 29 36 39 52 58 78 87 116 117 156 169 174 234 261 338 348 377 468 507 522 676 754 1014 1044 1131 1508 1521 2028 2197 2262 3042 3393 4394 4524 4901 6084 6591 6786 8788 9802 13182 13572 14703 19604 19773 26364 26759 29406 39546 44109 53518 58812 63713 79092 80277 88218 107036 127426 160554 176436 191139 240831 254852 321108 347867 382278 481662 573417 695734 764556 776011 963324 1043601 1146834 1391468 1552022 2087202 2293668 2328033 3104044 3130803 4174404 4522271 4656066 6261606 6984099 9044542 9312132 10088143 12523212 13566813 13968198 18089084 20176286 27133626 27936396 30264429 40352572 40700439 54267252 58789523 60528858 81400878 90793287 117579046 121057716 131145859 162801756 176368569 181586574 235158092 262291718 352737138 363173148 393437577 524583436 529105707 705474276 786875154 1058211414 1180312731 1573750308 1704896167 2116422828 2360625462 3409792334 4721250924 5114688501 6819584668 10229377002 15344065503 20458754004 30688131006 61376262012